| 二维不可压缩平板边界层的紧致有限差分法 |
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| 引用本文： | 李宁,罗纪生.二维不可压缩平板边界层的紧致有限差分法[J].水动力学研究与进展(A辑),2007,22(2):242-248. |
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| 作者姓名： | 李宁 罗纪生 |
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| 作者单位： | 1. 天津大学力学系,天津,300072
2. 天津大学力学系,天津,300072;南开大学;天津大学,刘徽应用数学中心,天津,300072 |
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| 摘 要： | 针对二维不可压缩平板边界层N-S扰动方程,采用高精度紧致有限差分格式,应用空间模式,直接数值模拟了二维不稳定T-S波传播的过程。该算法的时间离散采用三阶精度混合显隐分裂格式,空间离散采用高精度紧致有限差分逼近。法向采用非等距网格方法,出口边界条件采用嵌边函数法。实例验证,该方法计算结果与流动稳定性分析的结果一致。
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| 关 键 词： | 紧致有限差分 直接数值模拟 不可压缩边界层 |
| 文章编号： | 1000-4874（2007）02-0242-07 |
| 修稿时间： | 2006-12-012007-01-22 |
Compact finite difference method of two dimensional incompressible boundary layer on flat plate |
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| LI Ning,LUO Ji-sheng.Compact finite difference method of two dimensional incompressible boundary layer on flat plate[J].Journal of Hydrodynamics,2007,22(2):242-248. |
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| Authors: | LI Ning LUO Ji-sheng |
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| Affiliation: | 1. Department of Mechanics, Tianjin University, Tianjin 300072, China; 2. Liu-Hui Center of Applied Mathematics, Nankai University and Tianjin University, Tianjin 300072, China |
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| Abstract: | Aiming at the N-S disturber equation of 2D incompressible boundary layer on flat plate,a high precision compact finite difference method is proposed,which applied the spatial model.The process of 2D instability T-S wave transmitting is simulated by DNS.In this method,the third order precision mixed explicit-implicit scheme is employed for the time integration,and the space discretization is implemented by the high precision compact finite difference.The method of non-uniform meshes is applied in normal direction,and the fringe method is applied as outflow boundary condition.The example reveals that the results are in good agreement with the theoretic data. |
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| Keywords: | compact finite difference DNS incompressible boundary layer |
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